Extensions 1→N→G→Q→1 with N=C₂xC₅:D₅ and Q=C₄

Direct product G=NxQ with N=C₂xC₅:D₅ and Q=C₄

		d	ρ	Label	ID
C₂xC₄xC₅:D₅		200		C2xC4xC5:D5	400,192

Semidirect products G=N:Q with N=C₂xC₅:D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₅:D₅):₁C₄ = D₅.D₂₀	φ: C₄/C₁ → C₄ ⊆ Out C₂xC₅:D₅	40	8+	(C2xC5:D5):1C4	400,118
(C₂xC₅:D₅):₂C₄ = C₂xD₅xF₅	φ: C₄/C₁ → C₄ ⊆ Out C₂xC₅:D₅	40	8+	(C2xC5:D5):2C4	400,209
(C₂xC₅:D₅):₃C₄ = C₁₀.D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	40		(C2xC5:D5):3C4	400,73
(C₂xC₅:D₅):₄C₄ = C₁₀.₁₁D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	200		(C2xC5:D5):4C4	400,102
(C₂xC₅:D₅):₅C₄ = C₂xDic₅:₂D₅	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	40		(C2xC5:D5):5C4	400,175
(C₂xC₅:D₅):₆C₄ = C₁₀²:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	100		(C2xC5:D5):6C4	400,155
(C₂xC₅:D₅):₇C₄ = C₁₀²:₄C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	20	4+	(C2xC5:D5):7C4	400,162
(C₂xC₅:D₅):₈C₄ = C₂²xC₅:F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	100		(C2xC5:D5):8C4	400,216
(C₂xC₅:D₅):₉C₄ = C₂²xC₅²:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	40		(C2xC5:D5):9C4	400,217

Non-split extensions G=N.Q with N=C₂xC₅:D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₅:D₅).₁C₄ = Dic₅.₄F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂xC₅:D₅	40	8+	(C2xC5:D5).1C4	400,121
(C₂xC₅:D₅).₂C₄ = Dic₅.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂xC₅:D₅	40	8+	(C2xC5:D5).2C4	400,123
(C₂xC₅:D₅).₃C₄ = C₂xC₅²:C₈	φ: C₄/C₁ → C₄ ⊆ Out C₂xC₅:D₅	20	8+	(C2xC5:D5).3C4	400,208
(C₂xC₅:D₅).₄C₄ = C₂₀.₂₉D₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	40	4	(C2xC5:D5).4C4	400,61
(C₂xC₅:D₅).₅C₄ = C₂₀.₃₁D₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	40	4	(C2xC5:D5).5C4	400,63
(C₂xC₅:D₅).₆C₄ = C₄₀:D₅	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	200		(C2xC5:D5).6C4	400,93
(C₂xC₅:D₅).₇C₄ = C₂₀.F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	200		(C2xC5:D5).7C4	400,149
(C₂xC₅:D₅).₈C₄ = C₅²:₇M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	200		(C2xC5:D5).8C4	400,150
(C₂xC₅:D₅).₉C₄ = C₂₀.₁₁F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	40	4	(C2xC5:D5).9C4	400,156
(C₂xC₅:D₅).₁₀C₄ = C₅²:₈M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂xC₅:D₅	40	4	(C2xC5:D5).10C4	400,157
(C₂xC₅:D₅).₁₁C₄ = C₈xC₅:D₅	φ: trivial image	200		(C2xC5:D5).11C4	400,92

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